Problem

Multiply and reduce.
\[
\frac{4}{15} \times \frac{25}{16}
\]

Answer

Expert–verified
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Answer

Final Answer: \(\boxed{\frac{5}{12}}\)

Steps

Step 1 :Multiply the numerators together to get the numerator of the product, and multiply the denominators together to get the denominator of the product. So, \(\frac{4}{15} \times \frac{25}{16} = \frac{100}{240}\).

Step 2 :Reduce the fraction to its simplest form. So, \(\frac{100}{240} = \frac{5}{12}\).

Step 3 :The product of the two fractions is \(\frac{5}{12}\). This is the simplest form of the fraction, so no further reduction is necessary.

Step 4 :Final Answer: \(\boxed{\frac{5}{12}}\)

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